let K be non empty right_complementable well-unital add-associative right_zeroed doubleLoopStr ; :: thesis: for J being Function of K,K holds
( J is antiendomorphism iff opp J is linear )
let J be Function of K,K; :: thesis: ( J is antiendomorphism iff opp J is linear )
( J is antilinear iff opp J is linear ) by Th36;
hence ( J is antiendomorphism iff opp J is linear ) by Def15; :: thesis: verum